United Kingdom · National Curriculum Attainment Targets
Year 5 Mathematics
A comprehensive exploration of Year 5 mathematics focusing on deep conceptual understanding of the decimal system, proportional reasoning, and geometric properties. Students develop fluency through problem solving and mathematical inquiry across all domains.

The Power of Place Value
Developing a robust understanding of numbers up to one million and the relative value of digits in different positions.
Reading, writing, and ordering numbers to at least 1,000,000 and determining the value of each digit.
Using rounding as a tool for estimation and checking the reasonableness of calculations in context.
Interpreting negative numbers in real world scenarios and calculating intervals across zero.

Additive and Multiplicative Structures
Refining formal written methods for addition and subtraction while exploring the properties of multiples, factors, and primes.
Using formal column methods for numbers with more than four digits and solving multi step problems.
Identifying factors, multiples, common factors, and prime numbers up to 100.
Solving problems involving multiplication and division, including scaling by simple fractions and rates.

Fractions, Decimals, and Percentages
Connecting different representations of parts of a whole and performing operations with non integer values.
Identifying and naming equivalent fractions and converting between improper fractions and mixed numbers.
Reading, writing, and ordering decimals with up to three decimal places and connecting them to fractions.
Understanding percent as a part of one hundred and finding percentages of amounts.

Measuring the World
Converting between different units of metric measure and understanding the relationship between area and perimeter.
Converting between different units of metric measure such as kilometre and metre or gram and kilogram.
Calculating the perimeter of composite shapes and estimating the area of irregular shapes.
Solving problems involving converting between units of time and interpreting complex schedules.

Geometry and Spatial Reasoning
Classifying geometric shapes based on properties, measuring angles, and performing transformations.
Measuring and drawing specific angles and identifying angles at a point or on a straight line.
Distinguishing between regular and irregular polygons and identifying 3D shapes from 2D representations.
Identifying, describing, and representing the position of a shape following a reflection or translation.

Data Handling and Statistics
Solving problems by interpreting and presenting data in line graphs and tables.
Reading and interpreting information in line graphs, including those representing change over time.
Extracting and using information from tables and timetables to solve multi step problems.
Comparing different datasets and drawing conclusions based on statistical evidence.